1682130240 has 560 divisors, whose sum is σ = 6986698752. Its totient is φ = 376233984.

The previous prime is 1682130227. The next prime is 1682130301. The reversal of 1682130240 is 420312861.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13245057 + ... + 13245183.

Almost surely, 2^1682130240 is an apocalyptic number.

1682130240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493349376).

1682130240 is an abundant number, since it is smaller than the sum of its proper divisors (5304568512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1682130240 is a wasteful number, since it uses less digits than its factorization.

1682130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1682130240 is about 41013.7810985527. The cubic root of 1682130240 is about 1189.2866378649.

The spelling of 1682130240 in words is "one billion, six hundred eighty-two million, one hundred thirty thousand, two hundred forty".